125837629696 has 27 divisors (see below), whose sum is σ = 251195036043. Its totient is φ = 62915976960.

The previous prime is 125837629657. The next prime is 125837629699. The reversal of 125837629696 is 696926738521.

The square root of 125837629696 is 354736.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125837629699) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5664691 + ... + 5686861.

Almost surely, 2^125837629696 is an apocalyptic number.

125837629696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125837629696 is the 354736-th square number.

It is an amenable number.

125837629696 is a deficient number, since it is larger than the sum of its proper divisors (125357406347).

125837629696 is an frugal number, since it uses more digits than its factorization.

125837629696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44358 (or 22173 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 64.

Multiplying 125837629696 by its sum of digits (64), we get a square (8053608300544 = 2837888²).

125837629696 divided by its sum of digits (64) gives a square (1966212964 = 44342²).

The spelling of 125837629696 in words is "one hundred twenty-five billion, eight hundred thirty-seven million, six hundred twenty-nine thousand, six hundred ninety-six".